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Finding the Third Proportional to 169,615.13 and 356,665.50

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Solution

The third proportional to 169,615.13 and 356,665.50 is: 749,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,615.13 : 356,665.50 = 356,665.50 : x
  2. Step 2: Convert to fraction form
    169,615.13/356,665.50 = 356,665.50/x
  3. Step 3: Cross multiply
    169,615.13x = 356,665.50 × 356,665.50
  4. Step 4: Simplify right side
    169,615.13x = 127,210,278,890.25
  5. Step 5: Solve for x
    x = 127,210,278,890.25/169,615.13
  6. Step 6: Final answer
    x = 749,993.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.